Year: 2017
Author: Xin Ma, Youyi Zhao
Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 281–288
Abstract
In this paper, we study the homotopy category of unbounded complexes of strongly copure projective modules with bounded relative homologies $\mathcal{K}^{∞,bscp}(\mathcal{SCP})$. We show that the existence of a right recollement of $\mathcal{K}^{∞,bscp}(\mathcal{SCP})$ with respect to $\mathcal{K}^{–,bscp}(\mathcal{SCP})$, $\mathcal{K}_{bscp}(\mathcal{SCP})$ and $\mathcal{K}^{∞,bscp}(\mathcal{SCP})$ has the homotopy category of strongly copure projective acyclic complexes as a triangulated subcategory in some cases.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.03.08
Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 281–288
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: homotopy category recollement stable $t$-structure